Finding the Third Proportional to 8,277,957,814,624 and 18,116,435,788,256

Step by Step Solution

1. Step 1: Write the proportion equation
   8,277,957,814,624 : 18,116,435,788,256 = 18,116,435,788,256 : x
2. Step 2: Convert to fraction form
   8,277,957,814,624/18,116,435,788,256 = 18,116,435,788,256/x
3. Step 3: Cross multiply
   8,277,957,814,624x = 18,116,435,788,256 × 18,116,435,788,256
4. Step 4: Simplify right side
   8,277,957,814,624x = 328,205,245,670,002,765,953,236,992
5. Step 5: Solve for x
   x = 328,205,245,670,002,765,953,236,992/8,277,957,814,624
6. Step 6: Final answer
   x = 39,648,093,529,806.23